A circle has its center at the center of a square with 10 inch sides. Find the area of the square not covered by the circle to the nearest 10th

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Mathematics

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15 September, 20:43

A circle has its center at the center of a square with 10 inch sides. Find the area of the square not covered by the circle to the nearest 10th

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Nathalia Mathews · Answer 1

Assuming that the diameter of the circle is the square's side, then we have

Area of square: S1=10*10=100in²

Radius of circle: r=10/2=5in

Area of circle: S2=pi*r²=3.14*5²=78.54in²

Remaining area: S1-S2=100-78.54=21.46in².

Rounding to the nearest tenth: 21.5in².

Answer: 21.5in²